Answer:
The cost of 1kg jam is $7 and the cost of 1kg butter is $4
Step-by-step explanation:
Let jam = x
butter = y
3x + 2y = 29 -----(1)
6x + 3y = 54 -----(2)
(1)×2 ->
6x + 4y = 58 -----(3)
(3)-(2) ->
y = 4
suby=4into(2)
6x + 3(4) = 54
6x = 42
x = 7
(Correct me if i am wrong)
Answer: 25 units squared
Step-by-step explanation:
Draw a line down from p and go right connecting to r. The units there are equal to the ones on the triangle you were given. 5 horizontally and 10 vertically. 5 times 10 is 50 divided by 2
Answer:
x y^2 (11 x y - 4)
Step-by-step explanation:
Simplify the following:
4 x^2 y^3 + 2 x y^2 - 2 y - (-7 x^2 y^3 + 6 x y^2 - 2 y)
Factor y out of -7 x^2 y^3 + 6 x y^2 - 2 y:
4 x^2 y^3 + 2 x y^2 - 2 y - y (-7 x^2 y^2 + 6 x y - 2)
-y (-2 + 6 x y - 7 x^2 y^2) = 2 y - 6 x y^2 + 7 x^2 y^3:
4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3
Grouping like terms, 4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3 = (4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y):
(4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y)
x^2 y^3 4 + x^2 y^3 7 = 11 x^2 y^3:
11 x^2 y^3 + (2 x y^2 - 6 x y^2) + (2 y - 2 y)
x y^2 2 + x y^2 (-6) = -4 x y^2:
11 x^2 y^3 + -4 x y^2 + (2 y - 2 y)
2 y - 2 y = 0:
11 x^2 y^3 - 4 x y^2
Factor x y^2 out of 11 x^2 y^3 - 4 x y^2:
Answer: x y^2 (11 x y - 4)
64 = 4³
-216 = (-6)³
.008 = 0.2³ . . . . . . 1000 = 10³, 8 = 2³. This is 8/1000, so the cube of 2/10
1/64 = (1/4)³ . . . . . . the inverse of the first number
4 17/27 = 125/27 = (5/3)³
_____
You can see that it would be helpful to have memorized the cubes of small integers.
Answer:
y=2x-2
y=3x+1
Step-by-step explanation:
To solve this I will be using the point slope formula
It is as follows
y-y₁=m(x-x₁)
We can choose any m value so I will be choosing m=2
(x₁,y₁) will be (-3,-8) respectively because all we want is for the line to pass through that point
so we have
y-(-8)=2(x-(-3)
We can simplify this to
y+8=2(x+3)
y+8=2x+6
y=2x-2
We then repeat this process but choose a new m (the m value doesn't really matter as long as it's not 0)
I will choose 3
so we have
y-(-8)=3(x-(-3))
Which gives u
y+8=3(x+3)
y+8=3x+9
y=3x+1
